11.Solve dy - x+) y(2) = 2 by Fourth order Runge-Kutta Method at x = 2.5, and x = 3 %3D dx

Q: Find the particular solution for initial value problem.

A: x2dydx-yx=0⇒x2dydx=yx⇒dyy=xx2 dx⇒dyy=x12·x-2 dx⇒dyy=x-32 dx Now integrating on both sides, we get…

Q: 1. Determine the general solution of (x + 3y)dx - x dy = 0

A: Here in 1. we have to find general solution of given differential equation,        As per our…

Q: 2. Solve the following initial value problem. dy = sin(Tx) dx? y/ (1) = y(1) = 0. - -

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Q: Solve using separable differential equations dy 1 dx y3

A: We have to solve using separating the variables. xdydx=1y3

Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A:

Q: Solve the initial value problem dy/dx=x^2+1/x^2, y=-1 when x=1.

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Q: 3. Solve the initial-value problem: 2 dy = 2xy + 3y y(1) = dx 1

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Q: Find the particular solution for initial value problem.

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Q: Solve the initial-value problem (2y sin x cos x + y sin x)dx + (sin'x-2y cos x)dy 0 by using…

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Q: Find the solution of the differential equation that satisfiesthe given initial condition.

A: The given differential equation can be solved by the variable separable method. first, separate the…

Q: Solve the initial value problem dy/dx=2/x+1, y(0)=2.

A:

Q: Solve the initial value problem 2(y– 1)dy = (4x2 + 5x - 1)dx for y(0) = 2 %3D

A: 2(y — 1)dy = (4x2 + 5x — 1)dx This differential equation is in the form of variable separable.

Q: Solve the initial value problem. dy -=x°(y- 3), y(0) = 8 dx

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Q: Solve the initial value problem: dy d x COSI

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Q: dy 4. Solve the initial value problem : (1+x²). -= yx, y(1) = 2 dx

A: The given differential equation is 1+x2dydx=yx, y1=2.

Q: I. Find the general solution of the following: 1. dx dy -2x + 3x² dy 2. dx = 3e-2x 3. (x² + 5)dx –…

A: Differential equation problem....

Q: If x = 2sinθ, y = 1 – 4cosθ, then dy/dx is equal to (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: initial-value

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Q: Obtain the General Solution (x-1 )dx - (3 x -2y -S) dy = 0 MAM

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Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

A:

Q: 4. Solve the initial value problem- dx dy 3x? +4x + 2 2(у-1) y(0) = 2 and state the interval in…

A: Given differential equation is : dydx=3x2+4x+22y-1 To solve the given differential equation.

Q: dy/dx= 2ex-e-x y(0)=5

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Q: Solve the initial value problem: (4y + 2x – 5)dx + (6y + 4x – 1)dy = 0, y(-1) = 3 Clearly label your…

A: Initial Value Problem: In multivariable calculus, an initial value problem is anordinary…

Q: 1. Solve the initial value problem dx - x* (1+ y) = 0, y(0) = 5.

A: Explanation: Given that,  dydx-x6(1+y)=0, y(0) Now,  dydx=x6(1+y)1(1+y)dy=x6dx

Q: Solve the initial value problem dy/dx=2x−1x2, x≠0, y(1)=5.

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Q: Can i get help step by step?

A: To determine the solution of the initial value differential equation.

Q: 1 dy Solve the initial value problem of - 2 dx y +1 cos x , y(n) = 0

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Q: 4. Solve the Bernoulli DE: dy + y = e*y¬?. dx x.-2

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Q: 2. Find the solution of the differential equation that satisfies the given initial condition. dy…

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Q: 5. Find the solution of the differential equation 2dy + ydx = y'(x-1)dx (Bernoulli)

A: given that

Q: the solution to the IVP(x2+y2)dy/dx+xy=0 with y(0)=2 is

A: Given DE is x2+y2dydx+xy=0  and y(0)=2 find the solution of the DE

Q: Solve the initial value problems dy/dt = et sin (et - 2) , y (ln 2) = 0

A: Given: dydt=etsinet-2

Q: Solve the initial-value problem dy/dx+(3/x)y=x^2+x, y(1)=4

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Q: Obtain the general solution of this differential equation: xydx - (x+2) dy = 0

A: Given : The differential equation xy dx - (x + 2) dy = 0.   To obtain the general solution of the…

Q: Solve the initial value problem dy/dx= 1+x+x^2/2, with y=1 when x=0.

A:

Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

Q: Use a technique of integration or a substitution to find an explicit solution of the given…

A: To find the solution of the differential equation we use the method of separation of variables. We…

Q: Find general solutions of bernoulli differential equations.   xdy + ydx = x^3 y^6 dx

A: For linear differential equation ,dydx+P(x) y = Q(x)Soultion is :y x I = ∫IQ(x) +Cwhere I = e∫P(x)dx

Q: 3. Find an explicit solution of the given initial-value problem. dy y² sin x, y( 2) - dx

A: We Solve Given IVP by Variable Separable Form of Differential equations.

Q: How do I solve dx/dt+2x=3 with a particular solution of xp=3/2?

A: To find the general solution of the equation, given the particular solution

Q: Solve the initial value problem.

A: To solve the initial value problem.

Q: Solve the initial value problem: dy/dx= (1/(2sqrt(x)))+2 y(1)=3

A: Solving the initial value problem.

Q: Express the solutions of the initial value problems in terms of integrals. dy dx = √(1 + x2), y(1) =…

A: Consider the given equation as dx=1+x2dy

Q: Solve the initial value problem. dy + y sin x = 2x cos² x, dx y(0) = 0 COS X - 2.

A: Given: cos(x)dydx+y sin(x)=2x cos2(x)

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x;  y(0)=−1.

A: Given that dy/dx = 3ex-2x;   y(0) = 1.dy = (3ex-2x)dx            (By cross multiplying)Integrate on…

Q: Solve the initial value problems 1.dy/dx = 2x - 7, y(2) = 0    2. dy/dx = 10 - x, y(0) = -1

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Q: Solve the initial value problem given below. dy - 3y (-2 – y) dx

A: To Determine: solve the initial value problem.

Q: gmmuany. Solve the differential equation d²y + 4y = 4tan2x by the method of variation dx2 of…

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Q: Use a technique of integration or a substitution to find an explicit solution of the given…

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Q: dx dy dx dy Use elimination to solve: + = e'; -= *+

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.